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Question

A shopkeeper bought a television for ₹ 15,400 and sold it for ₹ 18,060. Calculate the profit and profit percentage.

The correct answer is
Profit = ₹ 2,660, Profit % = 17.27%

Calculating Profit and Profit Percentage

The problem asks us to find the profit and profit percentage for a television sale.

Given Data:

  • Cost Price (CP) = ₹ 15,400
  • Selling Price (SP) = ₹ 18,060

Step 1: Calculate Profit

Profit is the difference between the selling price and the cost price.

Formula: \( \text{Profit} = \text{SP} - \text{CP} \)

Calculation:

\( \text{Profit} = ₹ 18,060 - ₹ 15,400 \)

\( \text{Profit} = ₹ 2,660 \)

Step 2: Calculate Profit Percentage

Profit percentage is calculated based on the cost price.

Formula: \( \text{Profit \%} = \left( \frac{\text{Profit}}{\text{CP}} \right) \times 100 \)

Calculation:

\( \text{Profit \%} = \left( \frac{₹ 2,660}{₹ 15,400} \right) \times 100 \)

\( \text{Profit \%} = \left( \frac{2660}{15400} \right) \times 100 \)

\( \text{Profit \%} = \left( \frac{266}{1540} \right) \times 100 \)

\( \text{Profit \%} = \left( \frac{19}{110} \right) \times 100 \)

\( \text{Profit \%} = \frac{1900}{110} \)

\( \text{Profit \%} \approx 17.27\% \)

Conclusion:

The profit is ₹ 2,660 and the profit percentage is approximately 17.27%.

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Important Questions from Profit and Loss

  1. Ram bought a chair at 35% discount on its market price, Had Ram got no discount, he would have had to pay ₹245 more. How much did Ram pay for the chair? 

  2. A shopkeeper bought an item for Rs. 4,500 and sold it at a loss of 5%. From this money, he bought another item and sold it at a profit of 10%. What is his overall profit?

  3. A man sells two articles at Rs. 9,180 each. He gains 8% on one article and loses 15% on the other. His overall profit or loss is:

  4. A shopkeeper selling an article for ₹46 loses 8%. In order to gain 6%, what should be the selling price of the article?

  5. Rahul purchased 80 items from the market. 25% items of the total items were defective and the remaining items were sold at 50% profit. What will be the overall profit percentage?

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